Problem: Constraints

* H is an integer between 2 and 50 (inclusive).
* W is an integer between 2 and 50 (inclusive).
* s_{i, j} is `.` or `#` (1 \leq i \leq H, 1 \leq j \leq W).
* s_{1, 1} and s_{H, W} are `.`.

Input

Input is given from Standard Input in the following format:


H W
s_{1, 1}s_{1, 2}s_{1, 3} ... s_{1, W}
s_{2, 1}s_{2, 2}s_{2, 3} ... s_{2, W}
:   :
s_{H, 1}s_{H, 2}s_{H, 3} ... s_{H, W}


Output

Print the maximum possible score that Snuke can achieve, or print -1 if the game cannot be completed.

Examples

Input

3 3
..#
#..
...


Output

2


Input

3 3
..#
..
...


Output

2


Input

10 37
.....................................
...#...####...####..###...###...###..
..#.#..#...#.##....#...#.#...#.#...#.
..#.#..#...#.#.....#...#.#...#.#...#.
.#...#.#..##.#.....#...#.#.###.#.###.
.#####.####..#.....#...#..##....##...
.#...#.#...#.#.....#...#.#...#.#...#.
.#...#.#...#.##....#...#.#...#.#...#.
.#...#.####...####..###...###...###..
.....................................


Output

209

Solution (in PYTHON3):

Solution:
from queue import Queue
H,W=map(int,input().split())
s=[list(input()) for _ in range(H)]

white=sum([1 if s[y][x]=='.' else 0 for x in range(W) for y in range(H)])
used=[[False for x in range(W)] for y in range(H)]
q=Queue()
q.put((0,0,1))
while True:
    if q.empty():
        print(-1)
        break
    x,y,l=q.get()
    if used[y][x]:
        continue
    if x==W-1 and y==H-1:
        print(white-l)
        break
    used[y][x]=True
    for d in [(1,0),(0,1),(-1,0),(0,-1)]:
        nx=x+d[0]
        ny=y+d[1]
        if ny>=0 and ny<H and nx>=0 and nx<W:
            if s[ny][nx]=='.':
                q.put((nx,ny,l+1))